KnowraSpectral theoremLinked fromLinked fromThe 10 pages that link to Spectral theorem, each with the reason it gives.All 10Related 7Narrower topic 2Compared with 1Characteristic polynomialRelated: Its eigenvalues, obtained as polynomial roots, determine the diagonal form.Invariant subspaceRelated: Its decompositions identify invariant subspaces associated with spectral values.Symmetric matrixRelated: It gives the central structural decomposition of symmetric matrices.Diagonal matrixRelated: Real symmetric matrices can be represented diagonally in an orthonormal eigenbasis.Sylvester's law of inertiaRelated: It diagonalizes the matrix of a real quadratic form using an orthogonal change of variables.Kantorovich inequalityRelated: Expanding the vector in an eigenbasis reduces the bound to eigenvalue extremes.Cochran's theoremRelated: Diagonalization exposes the eigenvalues and projections that govern normal quadratic forms.